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Finding the Fourth Proportional to 1,143.95, 1,576.80 and 770.81

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Solution

The fourth proportional to 1,143.95, 1,576.80 and 770.81 is: 1,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.95 : 1,576.80 = 770.81 : x
  2. Step 2: Convert to fraction form
    1,143.95/1,576.80 = 770.81/x
  3. Step 3: Cross multiply
    1,143.95x = 1,576.80 × 770.81
  4. Step 4: Simplify right side
    1,143.95x = 1,215,405.32
  5. Step 5: Solve for x
    x = 1,215,405.32/1,143.95
  6. Step 6: Final answer
    x = 1,062.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.